The Mathematics of Oil: A Quantitative Approach to Petroleum Geology

Geology & Petroleum Analysis: A Quantitative Approach to Subsurface AnalysisMaster the mathematics that drives the oil and gas industry.Every barrel of oil discovered and produced relies on quantitative analysis. This rigorous textbook presents the mathematical framework used daily by petroleum professionals—from exploration geology and reservoir engineering to production forecasting, economics, and risk management.This book emphasizes derivation, physical intuition, and real-world application, showing not just how equations are used, but why they work.WHAT THIS BOOK COVERSGeological FoundationsSedimentary geology, petroleum systems, and hydrocarbon generationTOC, vitrinite reflectance, thermal maturity, and geochemical indicatorsReservoir CharacterizationPorosity, permeability, capillary pressure, and fluid saturationRelative permeability, fractional flow, and well log interpretationFluid PropertiesPVT behavior, formation volume factors, and black-oil modelsGas properties, z-factor correlations, and condensate behaviorReserve Estimation and Production AnalysisOOIP and OGIP volumetrics and Monte Carlo uncertainty analysisDecline curve analysis, rate transient analysis, and EUR forecastingReservoir EngineeringMaterial balance equations and reservoir drive mechanismsPressure transient analysis, well testing, and interpretation workflowsEnhanced Recovery and Unconventional ResourcesWaterflooding, gas injection, chemical and thermal EORShale reservoirs, hydraulic fracturing, and stimulated reservoir volumeGeomechanicsStress and failure in the subsurfaceWellbore stability and hydraulic fracture mechanicsBusiness of PetroleumMineral rights, lease economics, and net revenue calculationsMidstream operations, refining fundamentals, and crack spread economicsCommodity markets, hedging, futures, and risk managementPEDAGOGICAL FEATURESOver 100 worked examples using realistic field dataEnd-of-chapter problems from fundamentals to advanced derivationsAppendices with rigorous mathematical developmentConsistent use of SI and oilfield unitsClear figures, type curves, and reference tablesWHO THIS BOOK IS FORFor students: Build the quantitative skills employers demand. Learn why the equations work, not just how to apply them.For working professionals: A comprehensive technical reference connecting theory to field practice.For the mathematically curious: See calculus, probability, and physics applied to problems worth billions of dollars.From source rock to balance sheet, quantitative methods transform uncertainty into opportunity.Go find some oil.Author’s NoteThis is my first textbook, and I am deeply grateful to colleagues, readers, and reviewers both inside and outside the field who supported its development. If you notice errors or inaccuracies, please feel free to report them in reviews. My training is in mathematics, and this book approaches petroleum-related topics primarily from a mathematical and modeling perspective. Although substantial effort was made to ensure accuracy, particularly where geological or engineering context is involved, some errors may persist.In the preparation of this book, modern AI-assisted tools—including ChatGPT and Claude AI—were used in limited ways, such as assisting with the drafting of selected problems, stylistic refinement of equations, and reorganization of material. All content was independently reviewed, verified, and edited by the author to ensure accuracy, clarity, and quality.Any remaining errors or issues are solely the responsibility of the author. Read more